It may not be possible to eradicate it completely, but it's absolutely feasible to dramatically reduce its availability until there's no practical difference.
Maybe a thousand people downloaded it and added it to personal collections/datahoards. The vast majority of that thousand would never consider uploading to a public site (possibly as a response to a request). Of the remainder, most probably wouldn't bother unless the video in question is an outstanding example of that particular kink (in the story sex with someone unconscious).
The first step is undoubtedly getting and keeping it off public sites. Once that's done, even the few places it may remain effectively disappear in a vast sea of other content.
Maybe a thousand people downloaded it and added it to personal collections/datahoards. The vast majority of that thousand would never consider uploading to a public site (possibly as a response to a request). Of the remainder, most probably wouldn't bother unless the video in question is an outstanding example of that particular kink (in the story sex with someone unconscious).
The first step is undoubtedly getting and keeping it off public sites. Once that's done, even the few places it may remain effectively disappear in a vast sea of other content.